What would be the length of side $B C$ in Square $A B C D$ if the diagonal of the square given is $10$ cm?

5

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5 \sqrt{2}

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10

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10 \sqrt{2}

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Solution

The correct option is C $5 \sqrt{2}$ cm
The side of a square is $\frac{1}{\sqrt{2}}$ times of the diagonal.

If the length of diagonal $= 10$ cm

Then length of side $= 10 \times \frac{1}{\sqrt{2}} = 5 \sqrt{2}$ cm.

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